# E Augmented 7th piano chord (Eaug7)

Eaug7 contains E, G♯, B♯ and D. An augmented triad with the minor seventh added on top. G♯ is a black key; E, B♯ and D are white.

- Canonical page: https://piano.org/chords/augmented-7th/e/
- Entity: chord:augmented-7th:e
- Notes: E G♯ B♯ D
- Formula: 1 3 ♯5 ♭7
- Intervals from root: P1, M3, m6, m7
- Interval stack (semitones): 4 4 2
- Also written: Eaug7, Eaug7, E augmented 7th
- Parameters: A440, 12-TET, 165 mm octave, spans centre to centre

## Construction

| Degree | Note | Interval from root | Semitones |
| --- | --- | --- | --- |
| 1 | E | Perfect unison | 0 |
| 3 | G♯ | Major third | 4 |
| ♯5 | B♯ | Minor sixth | 8 |
| ♭7 | D | Minor seventh | 10 |

## Fingering

Rest your right hand over the notes with finger 1 on E, finger 2 on G♯, finger 3 on B♯, finger 5 on D. The left hand mirrors it.
Right hand 1-2-3-5, left hand 5-3-2-1. Source: piano.org fingering method v1.

## Inversions

| Position | Bass | Notes in order | Figured bass | Span |
| --- | --- | --- | --- | --- |
| Root position | E | E3 G♯3 B♯4 D4 | 7 | 10 st, 138 mm |
| First inversion (Eaug7/G♯) | G♯ | G♯3 B♯4 D4 E4 | 6/5 | 8 st, 110 mm |
| Second inversion (Eaug7/B♯) | B♯ | B♯4 D4 E4 G♯4 | 4/3 | 8 st, 110 mm |
| Third inversion (Eaug7/D) | D | D4 E4 G♯4 B♯5 | 4/2 | 10 st, 138 mm |

## Voicings (10)

| Voicing | Notes | Span | Relation | Omits or adds |
| --- | --- | --- | --- | --- |
| Close, root position | E3 G♯3 B♯4 D4 | 10 st, 138 mm | identical | none |
| Close, first inversion | G♯3 B♯4 D4 E4 | 8 st, 110 mm | identical | none |
| Close, second inversion | B♯4 D4 E4 G♯4 | 8 st, 110 mm | identical | none |
| Close, third inversion | D4 E4 G♯4 B♯5 | 10 st, 138 mm | identical | none |
| Drop 2 | B♯3 E3 G♯3 D4 | 14 st, 193 mm | identical | none |
| Drop 3 | G♯2 E3 B♯4 D4 | 18 st, 248 mm | identical | none |
| Drop 2 and 4 | E2 B♯3 G♯3 D4 | 22 st, 303 mm | identical | none |
| Shell, root ♭7 3 | E2 D3 G♯3 | 16 st, 220 mm | subset | omits B♯ |
| Guide tones, 3 and ♭7 | G♯3 D4 | 6 st, 83 mm | subset | omits E and B♯ |
| Rootless close | G♯3 B♯4 D4 | 6 st, 83 mm | subset | omits E |

## One-edit neighbors

| Becomes | Edit | Changes | Common tones |
| --- | --- | --- | --- |
| Eaug | 1 3 ♯5 | drops D | 3 |
| E7 | 1 3 5 ♭7 | B♯ becomes B | 3 |
| E9 | 1 3 5 ♭7 9 | B♯ becomes B, F♯ | 3 |
| E | 1 3 5 | B♯, D becomes B | 2 |
| Emaj7 | 1 3 5 7 | B♯, D becomes B, D♯ | 2 |
| Em7 | 1 ♭3 5 ♭7 | G♯, B♯ becomes G, B | 2 |
| Em7♭5 | 1 ♭3 ♭5 ♭7 | G♯, B♯ becomes G, B♭ | 2 |
| E7sus4 | 1 4 5 ♭7 | G♯, B♯ becomes A, B | 2 |
| E6 | 1 3 5 6 | B♯, D becomes B, C♯ | 2 |
| Eadd9 | 1 3 5 9 | B♯, D becomes B, F♯ | 2 |

## Set theory

- Absolute pitch classes: {4, 8, 0, 2}
- Relative pitch classes: [0, 4, 8, 10]
- Normal order: [0, 2, 4, 8]
- Prime form: (0248)
- Forte number: 4-24
- Interval vector: <020301>

## Frequencies (close root position)

| Note | MIDI | Frequency |
| --- | --- | --- |
| E3 | 52 | 164.81 Hz |
| G♯3 | 56 | 207.65 Hz |
| B♯4 | 60 | 261.63 Hz |
| D4 | 62 | 293.66 Hz |

## Questions and answers

### What notes are in Eaug7?

Eaug7 contains E, G♯, B♯ and D. The formula is 1, 3, ♯5, ♭7.

### How do you play Eaug7 on piano?

Play E, G♯, B♯ and D together. Right hand fingers 1, 2, 3, 5; left hand 5, 3, 2, 1. G♯ is a black key; E, B♯ and D are white.

### What are the inversions of Eaug7?

4 positions: root position E G♯ B♯ D, Eaug7/G♯, Eaug7/B♯, Eaug7/D.

### What is the difference between Eaug7 and Eaug?

Drops D. 3 of the notes are shared.

### What is an easy Eaug7 for small hands?

The guide tones, 3 and ♭7 voicing, G♯3 D4, spans 6 semitones or about 83 mm.

### What are the frequencies of Eaug7?

From E3 at A440 in 12-TET: 164.81, 207.65, 261.63, 293.66 Hz.

### What is the set class of Eaug7?

Prime form (0248), Forte 4-24, interval vector &lt;020301&gt;.

### How do I transpose Eaug7 to another key?

Keep the 1, 3, ♯5, ♭7 formula on the new root. Caug7 is C, E, G♯, B♭; D♭aug7 is D♭, F, A, C♭.

## Provenance

Every derived value above is computed by the piano.org theory kernel from the root, the quality and the stated parameters. Nothing is hand-entered per chord.

Machine record: https://piano.org/api/knowledge/v1/entities/chord:augmented-7th:e
Last reviewed: 2026-08-12